Answer :
To solve the problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents. This function is a mathematical formula for converting temperatures from degrees Fahrenheit (F) to degrees Celsius (C).
Here's a step-by-step explanation:
1. Identify the Components of the Function:
- The function is given as [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- [tex]\( F \)[/tex] in this function represents the temperature in degrees Fahrenheit.
2. Understand Temperature Conversion:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a well-known formula used to convert temperatures from Fahrenheit to Celsius.
- It takes an input temperature [tex]\( F \)[/tex] (in Fahrenheit), subtracts 32 from it, multiplies the result by [tex]\( \frac{5}{9} \)[/tex], and outputs the corresponding temperature in degrees Celsius.
3. Interpret [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] is the notation used for the result of this calculation.
- So, when you input a temperature in Fahrenheit (F) into this function, it outputs the equivalent temperature in Celsius.
4. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of F degrees Fahrenheit converted to degrees Celsius.
Based on this understanding, the correct interpretation of [tex]\( C(F) \)[/tex] is:
"The temperature of F degrees Fahrenheit converted to degrees Celsius."
Here's a step-by-step explanation:
1. Identify the Components of the Function:
- The function is given as [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- [tex]\( F \)[/tex] in this function represents the temperature in degrees Fahrenheit.
2. Understand Temperature Conversion:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a well-known formula used to convert temperatures from Fahrenheit to Celsius.
- It takes an input temperature [tex]\( F \)[/tex] (in Fahrenheit), subtracts 32 from it, multiplies the result by [tex]\( \frac{5}{9} \)[/tex], and outputs the corresponding temperature in degrees Celsius.
3. Interpret [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] is the notation used for the result of this calculation.
- So, when you input a temperature in Fahrenheit (F) into this function, it outputs the equivalent temperature in Celsius.
4. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of F degrees Fahrenheit converted to degrees Celsius.
Based on this understanding, the correct interpretation of [tex]\( C(F) \)[/tex] is:
"The temperature of F degrees Fahrenheit converted to degrees Celsius."
